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Finding the Third Proportional to 66,364 and 144,389

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Solution

The third proportional to 66,364 and 144,389 is: 314,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,364 : 144,389 = 144,389 : x
  2. Step 2: Convert to fraction form
    66,364/144,389 = 144,389/x
  3. Step 3: Cross multiply
    66,364x = 144,389 × 144,389
  4. Step 4: Simplify right side
    66,364x = 20,848,183,321
  5. Step 5: Solve for x
    x = 20,848,183,321/66,364
  6. Step 6: Final answer
    x = 314,148.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.